Nodal solutions of fourth-order Kirchhoff equations with critical growth in \(\mathbb{R}^N\)

Nodal solutions of fourth-order Kirchhoff equations with critical growth in \(\mathbb{R}^N\)

We consider a class of fourth-order elliptic equations of Kirchhoff type with critical growth in \(\mathbb{R}^N\). By using constrained minimization in the Nehari manifold, we establish sufficient conditions for the existence of nodal (that is, sign-changing) solutions.

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Veröffentlicht in:arXiv.org 2021-03
Hauptverfasser: Pu, Hongling, Li, Shiqi, Liang, Sihua, Repovš, Dušan D
Format: Artikel
Sprache:eng
Schlagworte:
Elliptic functions
Mathematical analysis
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Zusammenfassung:We consider a class of fourth-order elliptic equations of Kirchhoff type with critical growth in \(\mathbb{R}^N\). By using constrained minimization in the Nehari manifold, we establish sufficient conditions for the existence of nodal (that is, sign-changing) solutions.
ISSN:2331-8422